Open waveguides in a thin Dirichlet ladder. I: Asymptotic structure of the spectrum

DOI10.1134/S0965542517010110zbMath1367.81065MaRDI QIDQ2357126

Sergueï A. Nazarov

Publication date: 19 June 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

asymptoticsspectrumspectral gapstrapped modesopen waveguidessquare lattice of quantum waveguides

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum waveguides, quantum wires (82D77)

Related Items (2)

Open waveguides in a thin Dirichlet lattice. II: Localized waves and radiation conditions ⋮ Essential spectrum of a periodic waveguide with non-periodic perturbation

Cites Work

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